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Volume 6 Issue 4
October  1991
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Tian Jie. The Geometric Continuity of Rational Bezler Triangular Surfaces[J]. Journal of Computer Science and Technology, 1991, 6(4): 383-388.
Citation: Tian Jie. The Geometric Continuity of Rational Bezler Triangular Surfaces[J]. Journal of Computer Science and Technology, 1991, 6(4): 383-388.
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The Geometric Continuity of Rational Bezler Triangular Surfaces

  • National Laboratory of Pattern Recognition Institute of Automation; Academia Sinica; Beijing;

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  • Published Date: October 09, 1991
    Abstract
  • The problems of geometric continuity for rational Bezter surfaces are discussed. Concise conditions of first order and second order geometric continuity for rational triangular Bézier surfaces are given. Meanwhile,a geometric condition for smoothness between adjacent rational Bézier surfaces and the transformation formulae between rational triangular patches and rational rectangular patches are obtained.
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    • References (5)
  • [1]
    Boehm.W., Farin,G. and Kahmann.J., A survey of curve and surface methods in CAGD. Computer Aided Geometric Design, 1:1(1984),1-60.
    [2]
    Farin,G., Triangular Bernstein-Bezier patches. Cotrputer Aided Geometric Design, 3:2(1986), 83-127.
    [3]
    Tiller.W., Rational B-splines for curve and surface representation. IEEE Computer Graphices & Appl., 3:9 (1983), 61-69.
    [4]
    Tian.J., Geometric properties of rational Bezier surfaces over triangles. Pure and Applied Mathematics. 4:1 (1988), 66-76.
    [5]
    Herron.G., Techniques for visual continuity. In Geometric modeling algorith;ts and new trends SIAM, Farin,G., ed., Philadelphia, PA, USA, 1987. ……….
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